Search a number
-
+
71275620 = 2235132329137
BaseRepresentation
bin1000011111110…
…01010001100100
311222010011202210
410033321101210
5121221304440
611023403420
71523555433
oct417712144
9158104683
1071275620
1137262479
121ba53570
13119c7330
14967511a
1563cda80
hex43f9464

71275620 has 192 divisors, whose sum is σ = 233694720. Its totient is φ = 16084992.

The previous prime is 71275613. The next prime is 71275627. The reversal of 71275620 is 2657217.

It is an interprime number because it is at equal distance from previous prime (71275613) and next prime (71275627).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 685 × 667 × 156.

It is not an unprimeable number, because it can be changed into a prime (71275627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520192 + ... + 520328.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 271275620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71275620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

71275620 is an abundant number, since it is smaller than the sum of its proper divisors (162419100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71275620 is a wasteful number, since it uses less digits than its factorization.

71275620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 71275620 is about 8442.4889694923. The cubic root of 71275620 is about 414.6169010190.

The spelling of 71275620 in words is "seventy-one million, two hundred seventy-five thousand, six hundred twenty".